Existence theorems for measures on continous posets, with applications to random set theory.

DOI10.7146/math.scand.a-12246zbMath0667.60001OpenAlexW2520815221MaRDI QIDQ3819759

Tommy Norberg

Publication date: 1989

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/186121

zbMATH Keywords

random closed setscharacterizations of infinite divisibilityChoquet's characterizationLevy-Khinchin measures

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Geometric probability and stochastic geometry (60D05) Probabilistic measure theory (60A10)

Related Items (16)

Predictability and stopping on lattices of sets ⋮ Doob-Meyer decomposition for set-indexed submartingales ⋮ Domain-complete and LCS-complete spaces ⋮ Foundations of Stochastic Geometry and Theory of Random Sets ⋮ A computational model for metric spaces ⋮ On min-stable horse races with infinitely many horses ⋮ Choquet–Kendall–Matheron theorems for non-Hausdorff spaces ⋮ Domains for Computation in Mathematics, Physics and Exact Real Arithmetic ⋮ Scott functions, their representations on domains, and applications to random sets ⋮ Uncertain information: random variables in graded semilattices ⋮ Supermartingale decomposition with a general index set ⋮ Measure extension theorems for \(T_{0}\)-spaces ⋮ On the existence of ordered couplings of random sets -- with applications ⋮ The generalized Riemann integral on locally compact spaces ⋮ Computation on metric spaces via domain theory ⋮ Extension of valuations on locally compact sober spaces

This page was built for publication: Existence theorems for measures on continous posets, with applications to random set theory.